I do home child care so am required by licensing to have all sorts of mechanisms to lock every blasted thing up. But this is for safety when one person is caring for several children at once. I get that.
I can tell you that gates are heaven sent. If you are going to be there for a long time, ask your landlord about the hardware mounted gates instead of the pressure ones. The pressures ones REALLY can destroy a doorway. The hardware ones will put a few holes in that can be much more easily fixed later. Containment can be your friend for your own peace of mind as you cook (opening the oven with 2 small children playing about the home...or consider having to hop in the shower, while something is in the oven maybe?? I dunno??)
The other thing is the magnetic locks you spoke of. They can be spendy, but if you prioritize and combine items in cabinets, you would not need so many. Do like others said...set the kitchen and bathrooms up so towels and things are down low, so if your children do get thru the simple cheap tot locks, its not the end of the world, just some cleaning up.
Then get a few magnetic locks for areas like under the sink where the garbage and cleaning supplies are. If you have a cabinet filled with plastic wraps and tin foils and baggies (wraps have very sharp edges, etc) use the mag locks. The magnetic locks I recommend are the "Safety 1st Tot Lok" sets. They run about $10-$12 for a set of 2 locks with one key. Don't lose your keys! You can buy extras!
They really can offer some peace of mind. When my own daughter was little (until she was 3 years old) I did not do home daycare, so we only had a few of the push down locks (mostly so she would not open where the garbage was to allow the dog free reign, and the one where the cat and dog food was kept....I think they had deals going!!!). But after I started daycare, the rules were easier to follow with these magnetic locks. I am able to keep my household items exactly where I want them to be (rather than moving them all to up high places, etc). I just flip the locks to their "locked" position every morning during my workday, then to "unlocked" at night and on weekends for my family time (no small kids of my own so no worries after hours). Also, we have no knobs on any of our cabinets anywhere in the house (and we had a cabinet maker pal add tons of built ins for my daycare room and in other places in the home so I can put my job away after hours and no one needs to look at it! Plus he did a lot of barter deals with hubby over the years...he got car mechanic and snowmobile mechanic work..we got lovely cabinets and a cedar chest!)
As far as things like the table. Just repetition and learning. Who wants bungee cords all over. Besides those can ruin your chairs just by rubbing against them. The other stuff is more about sharp items and poison items to me.
Best of luck!