Don't come close to swamp by water. Take a wide berth and touchdown in a safer biome. Ideally you could find a meadow only a stones throw away.

Once you do arrive on land, use a hoe to shallow out those puddles. You might even be able to remove the puddle entirely and eliminate the threat of a sneaky leech. It isn't just good for taking repeat trips, but also to assure that you always have the clearest escape route behind you.