I own a "Lee Hand Press" also and slow is the primary. I have loaded on it enough to be confident it will do everything I need, then I put it in a kit for loading in the "field" (actually in the camper). I have other slow equipment also, like a turret and a single stage press. Then again I have a 1984 purchased Dillon 450, upgraded to a 550b.
Having used all those systems, my recommendation would be to buy used (or new if necessary) a RCBS Rock Chucker press later models are numbered RC 2, RC3, & ect. These are large and strong! and can be expensive, but will last all your life and through your grandkids! They have a feature of a removable bushing allowing much bigger than normal dies (And most likely you'll never use it for that), but it also allows the use of an adapter for the Hornady Lock-N-Load system of die bushings. These allow you to change back and forth like a turret press only with even more choices! I find this is the system I use somewhat more that my turret press! Hornady makes a single stage L-N-L press, but I have never seen one used! and it won't allow a few other fun things. (like loading 20 and 12 gauge shells, in paper, plastic or all brass!) The adapter kit comes with the adapter a 3 bushings, and bushings are sold in 3's and 10's (I have about 40) Cartridges I load frequently I leave the bushings on, but I keep a loose set for the odd round I "need". Most die Boxes allow storage with the bushings mounted, so once the are adjusted, they are done basically forever.
Since I have a progressive, If I'm doing a batch larger than 350, it is quicker to do them on the Dillon, but it won't go to the range or on a trip with me.
One of the most important pieces of equipment you can own is a good powder drop! For a one size fits all, I recommend the Lyman 55. You can find them used all over the country and they are accurate with ball, flake, and extruded powder! It can travel too. You will still need your scale to set the drop. But almost every brand has a numbered scale so you can record the settings, for switching loads or even powders and the back.
Have fun loading, have fun shooting, repeat!
Ivan