Hey sleepydad--Just wanted to throw my $0.02 into the ring
My 1st (used) Snapper was a bargain for $200, a Commercial Grade walk behind. Starting was....my worst part. I had no idea what I was in for...And like you, I would attempt starts for over an hour out of desperation & the desire to conquer the machine!
Trial & Error -- FOUR long years later, here was my routine: Change pre-cleaner & filter once a month, add oil EVERY HOUR, exchange Spark Plug EVERY HOUR... (clean old ones & reuse) To start mower, prime several times, jerry-rig the handle so you can walk away & engine still runs... Position mower on driveway slant....Now Push mower forward with one arm, simultaneously pulling starting rope---generally 5 pulls. Use spray cleaner often in spark plug & air intake to clear up burned oil gunk...
I took old smokey in for repairs 3wks ago. Told them to tell me everything I needed. Cost for repairs $300.80---so, I stopped by their shop to look at a new one. I walked in on the day they put out a 2yr old trade in... Walked out with a gently used machine for $300.00
Try a trade in... Look for gently used mowers... Don't spend the next 2 yrs loving to hate your mower... I am partial to the Snapper mulching machines (any CAN mulch BTW)... The cheaper alternative is the Toro. Don't get an electronic start - unless its a steal... they didn't last on the market.
I wish I had broken down & purchased 2yrs ago..but I was stubborn!