W.Lav Pro (Microdot)

Depends on your wireless system, some capsules require more power than others. You can't go wrong with Deity W.Lav Pro, Countryman B3 or a Sanken COS11-D, those will serve you a long time and they all sound good (specially the Sanken). Those capsules I mentioned start from 100 USD (without adapter) and they all work with consumer and prosumer wireless like the Røde and DJI, just make sure to get one with the right connector, if you have Sony wireless, you need a connector with the Sony spec (different wiring than Sennheiser and the rest of brand that use 3.5).

Deity is good especially if you consider the price. You said you are a beginner why would you need more expensive mic? I wish you more jobs so you can afford to buy different types of microphones for different uses, but for now you have a tool that will get the job done. And much more than that. 

With your budget for everything, I think you could get a very respectable wireless kit. I think you need to stay in the UHF band so you don't have as many problems in the cities. If you're willing to buy used or open box to save money, you'll be able to come in at much less than $5000. One thing I would do if I were you is invest in separate Lavalier wires than what the kits come with. There's lots of options and everyone has their preference, but for me the Countryman B3 is where it's at. It's small, it's extremely durable, and it's easy to hide. With your budget you should be able to get 2-4 extra wires depending on if you're buying new or used. Another option people like in the Deity WLav Pro, but it has a larger capsule than the countryman. If you have enough money left over, consider getting yourself a countryman E6 headset to keep in your kit. These are especially handy for exercise videos, corporate live events, or any situation where hiding the lav on the body may not work. They deliver amazing sound too. But don't waste money on it if you don't shoot projects where it would be useful. In the past, I would buy my wireless kits in different UHF bands, not sure how people feel about that now, but my thoughts were if I had some in the 470-540 mhz range and others in the 566-608 range, I was less likely to end up in a situation where I couldn't find an open channel. Regardless, the entry level professional kits are going to be UHF wireless band kits like the Sony UWP-21 (1 transmitter, 1 receiver, basic lavalier included). That kit is $629 brand new from B&H and similar vendors. Then they have the UWP-26 which includes the same things but also an additional "XLR plug-on transmitter". You can use that for a wireless boom, or you can plug it into a handheld mic like the Shure SM58 and use it like a news interview mic. However, you can only use one or the other. That kit is $774. The UWP-27 includes two Lavalier transmitters and a dual channel receiver. It's $1340. I think one of the best "budget" semi professional Lavalier kits right now is the Deity Theos. It includes 2 transmitters and a dual channel receiver for $1090. They're a little difficult to get the levels set correctly, from what I understand but once you do they seem to work great and a lot of people love them. They do make higher end transmitters like the DXTX and DLXT, but you have to buy them from overseas because they can't sell them in North America. Then you have the Sennheiser G4 series. These are well known and popular. They have too many options to list here, but you have the lower end EW100 model starting at $599, and the higher end 512P model for $999. Both of these kits have one lav transmitter and one receiver. They make many variations of both these kits, some include the XLR plug-on transmitter. Those are the budget level prosumer kits you'll see a lot in the corporate, documentary, and low-budget film sets. After that you get into brands like Wisy, Zaxcom, Lectrosonics where it's in the thousands per mic/kit. They're awesome and have so many features but I've never had the budget for them so I have less experience with units like that.

I’ve had some issues with the rode wireless pro into my fx3 and I’ve seen others have the same interference issues. The audio top handle solved all my problems. But when plugged direct into the body it took a while to get it sounding good. Unless you’re using the audio top handle, make sure to do plenty of tests. After some testing I found mounting it on the cage and using a longer shielded cable worked fine. Also turned off the Bluetooth in the fx3. I use the deity w.lav pro and the countryman B3 lavs and both sound good. The b3 is quieter so if you know you’ll have loud action I’d go for that. For very loud sounds (shouting or very loud stage performers) they make a reduced sensitivity version as well but I have the standard version. For a shotgun, it depends if you plan to hardwire or if you plan to use the wireless pro? The rode wireless pro doesn’t provide 48v phantom power so you’ll need to solve that problem somehow. When wireless booming I’ve used the Sennheiser MKE 600 because it has the AA battery slot to power it. It then works well with the rode wireless pro. If you plan to hardwire the shotgun and plug into the Sony audio top handle, k3m module or (preferably) a proper recorder/mixer all of which can provide p48 then I’d say search for a used MKH 416, a DPA 2017, or go with the Rode NTG3.

Honestly, the w.lavs sound great. I own dpa 4060's and wlav's. Have had cos11's in the past and used everything in between.  If you have w.lavs and they work for you, stick with them. No need to go out and spend extra money for minimal benefit.  Put it this way - the viewers won't know the difference.  Even the chin strokers on Reddit would struggle to tell the difference.  As someone who also does a lot of post, as long as I can hear what's being said with as little noise/rustle etc, that's really all that matters.