per the OP's question...yes, you can do a lot with 'just' 3/8. if, by 'just' you mean, 3/8 short, deep, and swivel. you will need a 3/8 -> 1/2" adapter and a breaker bar. i also wouldn't bother buying chrome sockets. at some point, you'll be using impact wrenches, be they cordless or air, and then you'll have to start over buying sockets. just skip the chrome and buy impact sockets now.
use tooltopia/dskatools/etc and you'll find a complete 3/8 set of sockets for less than $200 (shorts+deeps+swivels in US and metric). use those vendors to buy gearwrench's 3pc hard handle ratchet set (1/4, 3/8, and 1/2 for $60). go to harbor freight and buy their 25" long 1/2" breaker bar for $6 and their swivel head 3/8 ratchet. when you bump into that first job that requires 1/2" sockets, you've already got the ratchet, so just buy the set from dska/tooltopia. let the sickness pervade your existence and you'll soon have a 72" toolbox and the right tools to service the tracks of a panzer tank and 1/300th scale model of a watt steam engine...
ahm