1. A question: Does your LG Smart TV has a H/P out for headphone 3.5 jacks?

2. It would then be possible to get your TV sounds/Music source mixed together with the microphone sounds (as your wireless mic receiver is also a mixer) and input all the sounds either

A: to the soundbar which is not recommended as a soundbar is not made for live sounds with microphones. It would only eventually blow up your soundbar as time goes by, but you can still use it at your own risk.

B: or through some Active Speakers. I recommend https://www.amazon.com/Edifier-R980T-Active-Bookshelf-Speakers/dp/B01LXDZ8WB/ref=mp_s_a_1_6?dchild=1&keywords=edifier+active+speaker&qid=1622198213&sr=8-6

1. You would also need a RCA to 3.5mm Jack cable to Audio output from the mixer to the active speakers (or soundbar) and you should be good to go.

(Additional Information to your last question)

I am running multiple ways at home. I have a TJ Media Karaoke Machine from Korea for 614€ which runs alone with the TV (but also can be connected to Ampliffier and/or speakers) and I am more than satisfied with it til now. Aside from that I do have (passive) speakers at home and multiple amplifiers and/or mixers and mics to put some of them together to get karaoke sounds (although most of them or a bit old and I don't know how much they cost). And usually that are the ways I use:

1. Music Source (TV and youtube or a Karaoke Player) input into a Mixer Amplifier. I have some Shure Sm58 wireless receiver or also some wired mics connected to the same Mixer Amplifier. And the mixer amplifier connected with the speakers.

2. Music Source Connected to a Pioneer LaserKaraoke Device which functions in this case for me as a mixer, means that I also connect my mics to the Device and connect the LaserKaraoke Device to some Amplifier or AV-Receiver so that I can get the sound to my speakers in the end.

https://www.amazon.com/gp/aw/d/B01LXDZ8WB/ref=psdcmw_172471_t1_B08HCBMSTP

Send it

If you have a higher budget, what is it? Also are you technical enough to possibly hook up amps to speakers?

At that budget r/pcsound is the sub you should be asking at.

The cheapest speakers you’re going to find that intersect with this sub’s interests are probably these:

https://www.amazon.com/Edifier-R980T-Active-Bookshelf-Speakers/dp/B01LXDZ8WB

My father in law picked this one up about a month ago, and it hits above its price point, IMHO. He was in the same boat... Small budget, but didn't want a Crosley. Personally, I would recommend saving up a bit more, and getting something like a base Uturn that you can upgrade over time ($199 + cost to buy a preamp). However, if you want something now, I think this may meet your needs surprisingly well.

https://www.bestbuy.com/site/insignia-bluetooth-stereo-turntable-black/6432620.p?skuId=6432620

Edit: Forgot you were looking for speakers, too. These are a little more than $50, but I think they would be the most inexpensive ones I could recommend.

https://www.amazon.com/Edifier-R980T-Active-Bookshelf-Speakers/dp/B01LXDZ8WB/