London to Betwys-y-coed on Sunday

Should be relatively easy.
What travel dates

Sunday April 9th need to leave SW London and arrive in Betwys-y-coed.

easiest to use the Nationalrail APP or do on the website.
There's departures about every 45 mins from London , with one change at Crewe that gets you to LLandudno junction.
Approx 3.20 journey time..
Assuming its not the only rail journey you are taking if you qualify for a railcard get one and you will be "saving" overall.

Looks like no Sunday service down the Conwy valley, but there is a local bus

http://llewjonesinternational.co.uk/number-19-bus-service/.

arriva also run that route on service 25 but NO Sunday service

Can't fine what you did-. What station did the 3 hr 20 min leave from?

Using the nationalrail App. on my phone and search London (all stations) , to Llandudno Jnct, and setting date to April 9 the and 10 am departure it brings up the results.The London departures are from Euston, it also gives you Crewe as the place to change train and the relevant arrival and departure times and fares
The nationalrail website should also give same results

ok, thanks again.

Always less public transportation on Sundays. On weekdays & Sats., the whole trip could be made by train in 3 hours 36 minutes but more usually, 3 hours 50 minutes.

Looking at Sunday 9th April. You will need to depart from London (Euston) & it looks like no direct trains to North Wales are running on this Sunday. So, you need to firstly get to Crewe. Now, 2 train companies operate this route - Virgin & London Midland. Virgin are the fastest as they have 125mph trains whilst LM operate slower services . Unfortunately, the Virgin Trains offered at the lower prices arrive in Crewe just after a train for N. Wales has left.

The cheapest way I can see you dong the trip on this particular Sunday is:>
Dep EUS at 9.54 on London Midland to arrive Crewe at 13.02 for £12. (This train is overtaken by the 10.15 Virgin out of Euston - which arrives Crewe at 12.32. At present, it costs £36 but you would still end up on the 13.27 departure for N.Wales).
Dep CRE at 13.27 on Arriva Trains Wales service to Llandudno Junction for £12.50. (Train is going to Holyhead).
If you go to www.nationalrail.co.uk and put in for EUS>LLJ - you will find the through ticket price is much higher. So, buy split tickets with the split being at the change point, which in this case is Crewe. These are the prices as of now and may rise. You can pre-purchase via the train companies websites but you may like to use www.crossscountrytrains.co.uk website to book the tickets as they won’t make a £10 charge for changing the dates of travel later. (Even though you don’t travel on Cross Country Trains).

Of course, you may well wish to use the national website to compare prices and timings for the rest of the Sunday or check out the Saturday and Monday as alternatives prior to booking. Through prices are likely to be expensive. Check if splits work out cheaper with any change points being the prime targets for split lower prices. (You would need to know the arrival time / departure time at the split.

Getting from Llandudno Junction to Betws-Y-Coed by train is easy - but the trains are infrequent. However, following a storm, the line has been closed due to landslip. It is likely to remain closed until mid-April. The railways will use buses instead of trains until work is complete. https://www.networkrail.co.uk/feeds/conwy-valley-line-set-to-reopen-in-april-following-damage-caused-by-storm-doris/

On Sundays, the bus in the only viable transport - pay the driver. A bus departs Llandudno Junction at 15.18 for Betws-Y-Coed to arrive at 16.14. This bus takes a longer route vis Conwy & some villages. You will find the bus times here:> https://www.traveline.cymru/journey-planner-results/?search=1&typeaheadFromName=Llandudno+Junction%2C+Conwy&typeaheadFromLat=53.2849&typeaheadFromLng=-3.81073&typeaheadToName=Betws-y-Coed++Conwy&typeaheadToLat=53.0917&typeaheadToLng=-3.8021&maxWalkDistanceMetres=750&walkSpeed=4&from=Llandudno+Junction%2C+Conwy&to=Betws-y-Coed++Conwy&time=14%3A30&date=1491692400&timeMode=LeaveAfter&maxChanges=fewest&maxWalkDistanceMetresRestricted=&transportModes=Bus#