With a domestic lever, a "real tamper" is unnecessary as long as you have "real grinder" -- one capable of making micro-adjustments to the granularity. As others who use them will concur, vintage manual grinders can produce an excellent espresso grind and can hold their handles high when standing next to a $500 grinder; but some are simply worn out with age and use, while others are not micro-adjustable; these would be unsuitable for espresso but may do very well for french press. No need to toss them.
Tamping is not a necessity, and until you get your grinder dialed in, tamping will only complicate matters by adding an additional variable and side-effects to the extraction.
Grind, dose, and distribution are where you should focus your attentions primarily.
This no-tamping advice may appear to depart from prevailing wisdom; but they don't do much tamping in Italy, and the espresso they make there is said to be almost as good as what is made here in the States
Once you've established your baseline, you can decide for yourself whether you like espresso that has been tamped or not.
To establish a baseline with your grinder, try to grind finely enough to "choke" your machine (so that nothing flows at all even as you press down the lever) using only a moderate dose (~14g in the double basket) and no tamp whatsoever. If you can do this, then coarsen up the grind from that point in micro-adjustments until you get a nice flow that is not too rapid. If you cannot choke the machine in this manner, time to scout out another hand grinder on eBay -- one that is stepless and whose burrs are not dulled with years of use.
Regards
Timo