The "small base station" is a 5w base used on the splinter GMRS channels, not the main 8 repeater channels.
Technically, only radios that have FCC Part 95a acceptance can be used on GMRS channels. There are a few Kenwood LMR radios that have both Part 90 and 95, and there is an Icom Handheld with it, but most Part 90 LMR radios do not have the part 95 acceptance. However, A radio that it part 90 accepted, like the Icom F6021 45w mobile, meet the same standards as needed for part 95, but the manufacturer never bothered to get the 95 acceptance when getting it part 90. So while not technically allow, most seasoned GMRS users use part 90 radios for GMRS, just because "actual" part 95 mobile radios are rare, and you have to "know" someone to program them. A lot of the newer radios can be programmed and set up by the end user from any laptop or desktop computer, and changed as needed with software and cable that you can buy from the dealer when you buy the radio.
As for your ham radio, no it cant be used at all on GMRS, because not only does it not have the Part 95 acceptance, but the radio doesnt even meet the standards of GMRS. So if you used it you could be throwing interference all over the place.
You can use a GMRS radio for ham though, you just have to program in the correct frequencies.
I use my Icom F6121d for my job, ham radio, scanning, and will use it for GMRS as soon as I get my license.
Steven