Punctures

Sorry if this is old hat but new to biking after hundreds of years.
Things have changed a huge amount .
Since lockdown have gone cycling on roads and occasional light leisure off roading.
what is best advice re punctures please.
BTW my bike is Schrader , wife’s is Presto. I know ,I know.
Is it a puncture repair kit if so which one.
Change tube.
Fill tubes with gunge before we go out, if so which one.
Reinflate after puncture with which pump or compressed containers.
Your help is very much appreciated.
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If I'm riding tubed i take one spare tube, 2 tyre levers, pre-glued patches, mini pump and CO2 gas.
If I'm riding tubeless I take tyre worms, mini pump and CO2 gas. I use Doc Blue sealant.
https://www.halfords.com/cycling/bike-maintenance/bike-pumps/jetvalve-co2-injector-342582.html?istCompanyId=b8708c57-7a02-4cf6-b2c0-dc36b54a327e&istFeedId=367c5610-f937-4c81-8609-f84582324cd6&istItemId=iptiqtrql&istBid=t&_$ja=tsid:94971|cid:868555870|agid:49387670292|tid:aud-297219197929:pla-384255312207|crid:203456299143|nw:g|rnd:11395035067208395211|dvc:c|adp:|mt:|loc:9045378&gclid=EAIaIQobChMIuNfzmKWU7wIVWeh3Ch2vpgFSEAQYASABEgIHOPD_BwE
although you might want to buy extra canisters elsewhere online for a better price/size (i bought larger volume ones from eBay seller). A mini pump might be a cheaper option since i doubt one canister would be enough for a full inflation unless you have thin road tyres
As to tyre sealants there are plenty to choose from, some work better than others but note that some have quite short life times (as little as 3 months in some case in warmer weather). I've used Stans NoTubes as its pretty easy to handle/fill tubes. You could of course just buy replacements Slime tubes which come ready to go; fit them as and when you pick up a puncture ?
Joking aside, I never got on with pre glued patches, even the park tool ones, never seem to hold properly.
I use the lezyne Co2 pump (the CNC one with a control valve), is very good, and carry 2x 25g cannisters (that's 4x tyre inflations) Also have a lezyne road drive frame pump on the commuter, it's a very good mini pump.
When I get a puncture I carefully check the inside of the tyre then put a new tube in. Punctured tubes if repairable are patched at home in the warm and dry, then back into the spares drawer. Some have several patches but are still perfectly good to use. In fact I suspect all the tubes currently in use have been patched at least once...