The answer to height differences is to use a floor transition strip that ramps up or down from tile flooring to wood flooring.
How to install wood to tile floor uneven transition.
They make the transitions in a number of profiles and styles.
An oscillating tool is a must have for a project like this.
It might be slight or enough to stub your toe.
Transition strips typically made of wood or lightweight aluminum can easily be cut to length with a regular miter saw or hacksaw.
When the space is this small you can achieve this look by slowing down and taking it one tile at a time.
Transition strips create a bridge to fill the uneven gap.
Installing hardwood against tile or stone floors.
This transition probably looks more intimidating and complicated to achieve than it actually is.
The simplest way to link floor tile and hardwood of different heights is with a transition strip.
Usually called seam binders these wide about 5 inches transition strips are flat strips of hardwood with beveled edges used to bridge two wood floors of equal heights.
Bond the shim to the subfloor and then bond the molding to shim.
Frequently installers are asked to install wood floors against tile or stone flooring without transition pieces.
When two of them meet at a doorway the abrupt edge is obvious.
Tile carpet and hardwood are rarely the same thickness.
Here are a few options when you have to combine two uneven floors.
Wood or laminate transitions.
Cut a wood shim to fill the gap between the bottom of the molding and the subfloor.
These strips can be finished to look like the floor or painted to stand out.
Leave inch to inch of space centered underneath the door for the bottom of the transition strip.
Installing flush transitions with a floating floor.
In some cases weight may have to be applied to the molding to keep it in contact with the adhesive until it cures.
When you install wood or laminate the manufacturer of the floor should be able to offer you a transition piece that matches the floor.