I am looking for the common radios for survival and a base station. What are the most popular radios for team or 1 on 1 communication when the SHTF?
Depends upon the distance. Locally, within a couple of miles, FRS is cheap and unlicensed but it is limited to pretty low power. There is GMRS which is licensed (I think it costs $70 or so) which will increase the range. There is always the HAM radio option, but that requires you to get a license / ticket. The cost is nominal in that you can take the test for about $12 and study materials are free. Radios can be from $25 up to several thousand dollars. One limitation on HAM is that you can't (legally) encrypt your traffic. Of course when the SHTF that isn't going to matter. When it comes to HAM you also have HF, which is traditionally distance but with an antenna lower to the ground you get what is called near vertical incident skywave. What this means is that the radiation pattern goes up rather than out. This causes it to bounce between the ionosphere and the earth over a range of about 50-100 miles, which is outside the VHF/UHF range.
So, if you want cheap, easy, close communications go FRS. If you want extended capability, go ham. The important part regardless is that your team needs to know how to setup and use the radios which means practicing now before SHTF.
A side note about some of the cheaper ham radios, like the Chinese Boafeng UV5R .... they WILL transmit outside of the ham bands, which is technically prohibited. Pretty much all of the ham HF band radios will too if you make what is called the MARS mod (mars referring to the military auxillary communication group) To do so, though, is a violation that the FCC takes seriously, but under different circumstances, well people can do what's right for them.
A note regarding whatever frequency you are using. In order to transmit effectively the antenna (basically just wire) needs to be the right length, 1/4 of the radio wave wavelength or a multiple there of. A random wire can receive pretty well, but in order to transmit and get the power into the wire it needs to be fairly well matched.