How to make edges smoooth/rounded? This is a small part of the object I want to smoothen so fixing the vertices will take time,
is there a fast way to smoothen the lip of edges of my cylinder?
Exactly like this.

Things I tried but didn't worked:
Subdivision surface modifier,
Bevel modifier,
Bevel node- doesn't look good,
Edit mode Bevel
I provided the blender file below so you'll see the object I'm talking about.
Thank you!
Your topology is not good so the bevel won't work properly, what you can do is:

First apply the scale, otherwise the bevel will be deformed on an axis:



Go in Edit mode, you have a lot of triangles, a quick way to fix it is to select all and X &gt; Limited Dissolve (the default settings will work fine):


Delete the top faces with X &gt; Faces:


You need to delete some rebel vertices along the edge with X &gt; Dissolve Vertices:



Enable the LoopTools addon, select the top edges and right click &gt; LoopTools &gt; Bridge to create new faces:



Select the top edges and CtrlB to bevel. You can tweak all the settings in the Operator box (bottom left of your 3D view):