Vladimir in the middle lane is actually quite different from the top lane: I'm going to explain how you can have a direct impact to ease up your lane, and an indirect impact.

For starters the lane is more stout(shorter) which means your pool can cover more distance safety wise. For this reason most Vladimir Mid players will bring Storm Raiders Surge, allowing them to chunk their mid laner's health when the opposing jungler ganks; applying the SRS movement speed boost and run back to their tower in safety which results in a pretty much guaranteed save without burning flash. With this in mind, you can start to use your summoners more aggressively. Don't forget that if your mid laner is too tanky for you to apply your SRS, you should not be playing aggressively as you wont be able to run away as safely without burning a summoner spell. Having this "safety" advantage puts you on the level of a mobile mid laner(Fizz, LeBlanc, etc.) which means the enemy jungler has less opportunity to gank you since he knows you will escape, which in a sense will discourage him from visiting the mid lane. Of course, this is how you can indirectly make the lane easier.

Now if you're looking for some direct options against the match ups you mentioned:
I moved this part of my reply INTO MY GUIDE. It's under the match up section, just click on the portrait of the champ's you mentioned. I literally copied and pasted whatever I wrote here into the match up description. It was really long and looked awkward and uneasy on the eyes to read. So yea, in the guide now go check it out.

Spirit Visage will be your most effective item against them. Don't be afraid to be useless all early game by rushing SV as Vladimir is a scaling beast, and late game is where you will have your moment to shine.

Basically what I mean by "in-between" is that after you purchase Rylai's Crystal Scepter you should then purchase a Fiendish Codex and/or a Kindlegem before building the next suggested core item. An example of what I mean would be this; Rylai > Sorcerer's Shoes > Codex > Kindlegem > Spirit Visage > Deathcap and so on. By purchasing items in that order you can achieve 30% CDR quickly so you wont end up being thirty minutes into the game with 10% Cooldown. The reason you would want to do this is because Cooldown is extremely important on Vladimir. Hope this reply answers your question and clears up any confusion.

I have to say I vastly appreciate this as my first comment, it assures me that the information I am putting out for Vladimir newcomers and/or veterans is respectable and gives me the confidence to keep dishing out content and make changes for readers. So once again, thank you!