Water spawners.

What water pokemon are you seeing?

I find Dratini along rivers/lakes where there are tons of Magikarp, Psyduck and Slowpokes (with occasional other water pokemon) but that doesn't mean it's exactly the same in your town.

I don't ever camp the water spawns, rather I have a morning run along the river so I can cover a good distance (5K) and I find about an average of 2 dratini a day doing this.

Lapras don't spawn in Austin, TX at all .. so can't help you find those.

Dragonites I have only heard about spawning in other areas .. mostly not next to water.

The only dratinis I have seen have been near water. Staryu, horseas,slowpoke, psyduck, magikarp, omanyte, shellder, paras. No dragonite or lapras near water that I've seen.

Note: I've spent way more time at water spawn than anywhere else.

Where I leave there are Dragonites time to time and they dont spawn next to water but on a hill.
Dratini and Dragonair almost only in water areas. Everywhere you find a magicarp, you can get a dratini time to time.
Never seen a wild Lapras lvl32.

i'm lvl 32, and i've seen 1 Lapras in the wild, it was right by a large river.

I'm level 30, seen 3 wild lapras all at the ocean where I find a ton of psyduck, tentacool, and magikarp. I average about 2-3 dratini on my runs in that location. Typically, if a bunch of magikarp start spawning, a rare water spawn soon follows. That's been my experience anyway, whether there's a correlation or not.

I'm in the UK so spawning sites might differ elsewhere, but my local creek regularly spawns Goldean, Horsea, Staryu and Magicarp. Less frequent spawnings are Psyducks, Tentacool, Slowpokes and Poliwags. Dratini are very rare spawnings but you get the odd one. I've never seen Lapras or Dragonite in the wild.