Manchester

something like that

Yeah, something like that.

The phrase 'something like that' shows something is partially true.  Notice the following:

1. I wan tto eat Chinese food or something like that.
   
2. I try to eat read business books or something like that.
   

grim

Manchester's well known for being a grim town.

A "grim" town is nasty and unfriendly; not a welcoming place to be.  Notice the following:

1. He always tells very grim stories about when he was a child.
   
2. I've heard such wonderful things about Panama.  I wasn't expecting it would be so grim.
   

reputation

Manchester has got a more modern reputation.

Your "reputation" is what people think about you. Notice the following:

1. According to your reputation, you like to party.
   
2. She has a reputation of being a hard worker, but very difficult to work with.
   

center of arts

A more modern reputation as a center of arts.

A "center of arts" is a place that has recent or traditional art.  Places like this attract a lot of painters, photographers, and other artists.  Notice the following:

1. He always wanted to live in a center of arts and visit galleries or museums in his free time.
   
2. She moved to Paris because it was a center of arts.
   

actually

I love the Smiths, actually.

"Actually" has a similar meaning to "really" but it shows suurprise or contrast.  Notice the following:

1. It has been nice to spend some time alone, actually.
   
2. It is actually quite easy to travel in the city.