As was answered in Post #10 - yes, I think could do all of it at kitchen table, except the sizing part - need your press on something solid - likely more solid than most kitchen tables that are common now, although my Aunt's table in farm house in 1960's was likely more substantial than many work benches here. I think lever action rifles typically want at least Full Length sizing, if not Small Base sizing - so just Neck Sizing (like you used to be able to do in the inexpensive "pound in" Lee Loader kits) likely not enough for a lever rifle.
I found ad for one that might work - Fix this link and go there to see it - hand held Lee brand press - I never used it, so do not know how well it works - need dies to use it for resizing and bullet seating.
ht tps://www.amazon.ca/Lee-Precision-Breech-Lock-Press/dp/B0050Z5A6E
If you have never re-loaded and/or are not tooled up for it, a press and dies are fairly major - but only first step - likely similar dollars yet to spend on other gizmos - at minimum - and then to find primers, bullets, brass and powder to go with those. Many of us have a space where our re-loading toys are set up more or less permanently - but, as you describe, you would have extra fuss to unpack and repack for each session - all that is needed could be stored in a box of medium (or small) size Roughneck RubberMaid tub with lid.
About no end to the toys for reloading - some necessary, some not - is likely a real good idea to first get one or two books. I found "Modern Reloading- Second Edition" by Richard Lee to be inexpensive and covers many topics - and was not too expensive. Then maybe a reloading manual by main line bullet maker - Speer, Hornady, Nosler, or Sierra - at least as much for the first 1/3 of book discussing how to reload - as for the recipes found later in those manuals. Another good one to get early on might be Lyman 49 or Lyman 50 - I notice must be corporate things going on - Lyman manuals mostly illustrate how to do with Lyman tools; Speer manual usually shows how to do similar job with RCBS tools, etc. So gives you insight about tooling to get.