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I personally much prefer having the actual book when playing, but just because I find it easier to flick around pages quickly to reference things if and when it's needed. The stuff on anyflip is definitely useful to get an idea of things or if there's a group all trying to make a character and fighting over one player handbook. The character players don't need to reference the book too much in game, maybe some of the magic based characters more so unless they have spell cards or a track app or something. DM will check the manual and adventure guides quite a lot though.
Looks like Wizards host the starter rulebook from that set on their website, does this look right?
https://media.wizards.com/2020/dnd/downloads/dnd_starter_rulebook.pdf
Also possibly has the pre-rolled characters available too, but these could just be other generic pre-rolls:
https://media.wizards.com/downloads/dnd/StarterSet_Characters.pdf
Then from what I can see this is the campaign that's in the starter set as well.
https://anyflip.com/efdfy/hxor/basic
Moving on from their if people wanted to make their own characters with a few more options for personalisation, the Player Handbook is what you'd want which will look like this:
https://online.anyflip.com/afgs/xkls/mobile/index.html#p=1
Then I'd recommend getting an adventure to move on with, before going full out on DM Guide and Monster Manual to create your own adventures.
https://www.dndbeyond.com/sources#Adventures
There's a load of additional sourcebooks as well with more character options, monsters and rules but can get overloaded with stuff quite quickly.
Edit: the player handbook can be bought in loads of places, one example here https://forbiddenplanet.com/124353-dungeons-dragons-players-handbook-hardcover/
Think I've seen it for £30 places but not sure.
No idea what this would be like in practice but might be good for younger players as well
https://forbiddenplanet.com/314239-dungeons-dragons-the-young-adventurers-collection