"lf lower ball joint" sure does sound like the control arm. Also usually a shop will not refer to the tie rod ends as a "ball joint" but as a tie rod or outer tie rod etc.
Why not just call the shop and ask "is that note about the control arm or the tie rod?"
Control arm is an easy job. You can get the part pretty cheap but beware they usually fail within a year. On control arms I HIGHLY recommend go with (1) genuine Volvo (about $105 at www.tascaparts.com
) or (2) Lemforder or (3) TRW. Those are the only brands I know have proven themselves over the long term.
I had trouble with cheapie tie rod ends, the $15 ones the boots lasted only a year. I went with TRW and those have lasted 3 years now. Moog should be good.
I'd replace the tie rods ends with the torn boots anyway, replace the control arm, then bring it back in for alignment.