also consider Siglent SSA3021X - it's quite new but might be available already. The TG is not that expensive and is useful for characterizing amplifiers, filters, and so on - get it!
I'd say you need 'eyes' first, i.e. oscilloscope and spectrum analyzer so you can see the signal, and precision devices later such as 6-digit bench DMM, frequency counter, RF power meter, etc.
just keep in mind the spectrum analyzer frequency counter is not a precision instrument, with an external 10 MHz reference you might get 6 or so digits while any decent frequency counter is 9+ digits.