Yes, I'd get a Spratts and or a coat king.
Also: a slicker brush for ears and feathering
a metal comb with medium and coarse teeth, again for ears and feathering
a decent pair of thinning shears, for wayward hair and keeping insides and backs of ears short and mat free
a decent pair of straight shears, for trimming feet
Nail clippers
It's hard to say what will happen to her coat when she is spayed, it may go wooly or cottony, or you may be one of the lucky few who sees no change. If spaying is going to change her coat it will happen regardless of how old she is when it's done