Just a few thoughts from me - It was just the other day I gave my Dell Inspiron Duo a complete re-partition - for a triple boot! 
MBR or GPT
I presume it'll be a modern laptop with UEFI / EFI, in which you'd use GPT and have no limits. But if it's a BIOS machine, you may need to use MBR for its partition table, which is limited to 4 primary partitions. In that case, you'd want to create an extended partition (classed as 1 primary partition) and add many logical partitions inside it, which Linux will happily boot from. (Windows would complain 
)
Like I say, I presume it'll be EFI/GPT ready, but others reading this may still have BIOS machines and make the mistake of trying GPT, which needs EFI/UEFI hardware to boot, I believe.
/boot looks a little small
Since it also stores the kernels to boot your system, I suggest at minimum 200 MB, 500 MB should give plenty of room. My Duo used over 60 MB / 200 MB (30%) for just one kernel and this will grow with updates unless these remove older kernels are manually removed.
Swap looks good!
I have 7.8 GiB (8 GB) of RAM on my desktop too, with a 4 GiB swap "just in case" -- If I'm using way too much memory, generally I won't swap over 2 GiB, so that's a good choice 
If you wish to hibernate the computer, you'd need a swap the size of the RAM (8 GiB).... but this feature is rarely used since it's temperamental or doesn't work... which is why it's disabled by default.
I suppose this one is just preference, but if you wish to increase or abolish the swap partition later, it may be easier at the end the disk instead of in the middle.... I suppose in its current place that space could be given to /, should you scrap the swap later.
If /home is to be shared across distros
If you do intend to install multiple distros later, I would recommend keeping the /home separate, as it may cause conflicts and mismatching settings, depending on the other environments. You could create a Data partition and symbolic link your personal folders if that's the case.
Watch out for GiB or GB
Tools like GParted use the Gigibyte prefix, which is 1024 MiB = 1 GiB. Others use gigabytes, 1000 MB = 1 GB. Beware if you see 931 GiB in one tool and then see 1 TB (1000 GB) in another, such as gnome-disks.
Windows is a liar! It actually calculates hard disks in GiBs, but displays the GB prefix, just as a little fact.
Otherwise, good luck! GParted is an excellent choice for shrinking partitions if you wish to install more distros. There is no right or wrong way to partition, whatever works best for you! 
